具有接种疫苗年龄和暂时免疫的SEIVS流行病模型的稳定性  

Stability of an SEIVS Epidemic Model with Vaccination-age and Temporary Immunity

作　　者：方彬[1,2] 周会娟[3] 李学志[2] 

机构地区：[1]北京信息控制研究所,北京100037 [2]信阳师范学院数学与信息科学学院,河南信阳464000 [3]洛阳理工学院数理部,河南洛阳471000

出　　处：《平顶山学院学报》2014年第2期13-18,共6页Journal of Pingdingshan University

基　　金：国家自然科学基金(11271314);信阳师范学院青年基金(2013-Q-055)

摘　　要：接种策略对阻止和控制流行病传播起着重要作用,考虑接种疫苗年龄和暂时免疫力在现实中更为合理.讨论具有接种疫苗年龄和暂时免疫的SEIVS流行病模型的稳定性,给出阈值条件,证明模型平衡点存在性与稳定性.Vaccination strategy plays an important role in preventing and controlling the spread of the epidemic. It is more reasonable to consider vaccination-age and temporary immunity in reality. This paper studied the stability of an SEIVS epidemic model with vaccination-age and temporary immunity,gave the threshold condition and proved the existence and stability of equilibrium.

关 键 词：接种疫苗 模型 再生数 平衡点 稳定性 

分 类 号：O175.8[理学—数学]